OFFSET
1,1
LINKS
Victor Adamchik and Stan Wagon, Pi: A 2000-Year Search Changes Direction
David Bailey, Peter Borwein, Simon Plouffe, On the rapid computation of various polylogarithmic constants
Eric Weisstein's MathWorld, BBP-Type Formula
Wikipedia, Bailey-Borwein-Plouffe formula
FORMULA
a(n) = Numerator(1/n^3+1/(n+1)-2/(n+2)-6/(2*n+1)+6/(2*n+3)+1/n). - Peter Luschny, Mar 24 2015
MAPLE
a := n -> numer(1/n^3+1/(n+1)-2/(n+2)-6/(2*n+1)+6/(2*n+3)+1/n):
seq(a(n), n=1..37); # Peter Luschny, Mar 24 2015
MATHEMATICA
a[n_] := Numerator[(1/n^3)*(-1/(n+1) + 16/(n+2) + 3/(4*(2*n+1)) - 81/(4*(2*n+3)))]; Table[a[n], {n, 1, 40}]
PROG
(Magma) [Numerator((1/n^3)*(-1/(n+1)+16/(n+2)+3/(4*(2*n+1))-81/(4*(2*n+3)))): n in [1..40]]; // Vincenzo Librandi, Mar 24 2015
CROSSREFS
KEYWORD
nonn,frac,easy
AUTHOR
Jean-François Alcover, Mar 24 2015
STATUS
approved